Well, a man and woman are one flesh according to the bible, does that mean they are physically conjoined within a single body? No.
In most places Jesus makes a distinction between Himself and God:
11:24 Therefore I say unto you, What things soever ye desire, when ye pray, believe that ye receive them, and ye shall have them.
11:25 And when ye stand praying, forgive, if ye have ought against any: that your Father also which is in heaven may forgive you your trespasses.
11:26 But if ye do not forgive, neither will your Father which is in heaven forgive your trespasses.
(King James Bible, Mark)
13:32 But of that day and that hour knoweth no man, no, not the angels which are in heaven, neither the Son, but the Father.
(King James Bible, Mark) Over and over Jesus refers to Himself as the Son of Man, not the Son of God.
14:36 And he said, Abba, Father, all things are possible unto thee; take away this cup from me: nevertheless not what I will, but what thou wilt.
(King James Bible, Mark)
6:14 For if ye forgive men their trespasses, your heavenly Father will also forgive you: 6:15 But if ye forgive not men their trespasses, neither will your Father forgive your trespasses.
(King James Bible, Matthew)
6:32 (For after all these things do the Gentiles seek
for your heavenly Father knoweth that ye have need of all these things.
(King James Bible, Matthew)
7:11 If ye then, being evil, know how to give good gifts unto your children, how much more shall your Father which is in heaven give good things to them that ask him?
(King James Bible, Matthew)
7:21 Not every one that saith unto me, Lord, Lord, shall enter into the kingdom of heaven; but he that doeth the will of my Father which is in heaven.
(King James Bible, Matthew)
10:19 But when they deliver you up, take no thought how or what ye shall speak: for it shall be given you in that same hour what ye shall speak.
10:20 For it is not ye that speak, but the Spirit of your Father which speaketh in you.
(King James Bible, Matthew)
There are hundreds of such verses that draw a clear distinction between Jesus and God.